Ion diffusion near charged surfaces. Exact analytic solutions

Abstract

The problem of single-ion diffusion in the electric double layer near a planar surface has been studied within the Smoluchowski–Gouy–Chapman description. For the case of a symmetric electrolyte against a charged planar surface exact analytic solutions have been obtained. Explicit results for the cases of absorbing and reflecting boundary conditions at the charged surface are given. Solutions for other boundary conditions can be readily derived from the general solution.